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Finding the Third Proportional to 176,755.50 and 384,249

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Solution

The third proportional to 176,755.50 and 384,249 is: 835,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,755.50 : 384,249 = 384,249 : x
  2. Step 2: Convert to fraction form
    176,755.50/384,249 = 384,249/x
  3. Step 3: Cross multiply
    176,755.50x = 384,249 × 384,249
  4. Step 4: Simplify right side
    176,755.50x = 147,647,294,001
  5. Step 5: Solve for x
    x = 147,647,294,001/176,755.50
  6. Step 6: Final answer
    x = 835,319.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.